Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:

To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute
and
into the equation above:
Since
= -2 and
= -8 , after simplification we have:
The solution of this system is:
The general term is :

Answer:
5.5%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:

<em>I = interest amount</em>
<em>P = principal amount</em>
<em>t = time (years)</em>
<em />
The first step is to find the interest gained from the investment.

Next, plug in the values into the equation:
Multiply the bottom values
Divide the values

The last step is to convert 0.055 into a percent:

The interest rate is 5.5%
Answer:
25% of deliveries
Step-by-step explanation:
This is a uniform distribution with parameters a = 1.00 and b =5.00. With these conditions, the following probability distribution functions can be applied:

Therefore, the probability that X ≥ 4:00 p.m. is given by

Thus, 25% of deliveries are made after 4:00 p/m.
Answer:
x - 6
—————
x + 5
Step-by-step explanation:
D.) Subtracting 9 from each side.